
Accession Number : ADA186334
Title : The pVersion of the Finite Element Method for Elliptic Equations of Order 2l.
Descriptive Note : Summary rept.
Corporate Author : MARYLAND UNIV BALTIMORE COUNTY CATONSVILLE DEPT OF MATHEMATICS
PDF Url : ADA186334
Report Date : 21 Jul 1987
Pagination or Media Count : 42
Abstract : The finite element method has three versions: the hversion, the pversion and the hp version. In the hversion, increased accuracy is achieved by decreasing the mesh size h while keeping p, the degree of elements used fixed (usually p = 1,2,3). Int he pversion, a fixed mesh is used while the degree p of elements are either uniformly or selectively increased to achieve accuracy. The hp version is a combination of both. The standard hversion has been thoroughly investigated and many commercial and research programs are available. The p and hp versions are recent developments. There is only one commercial code, the system PROBE, and the first papers discussing theoretical aspects appeared only in 1981. The approximations of solutions of elliptic problems of order 21 over two  dimensional polygonal domains by the pversion of the finite element is investigated. Optimal rates of convergence are established for the case when elements possessing C continuity are used.
Descriptors : *FINITE ELEMENT ANALYSIS, CONTINUITY, CONVERGENCE, ELLIPSES, EQUATIONS, OPTIMIZATION, POLYGONS, RATES, MESH
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE